




from __future__ import annotations

import math
import random
from typing import Any
class 		_A   :






  def __init__(    self						:      Dict )						->       int:






       """simple docstring"""







       lowercase   :  int        =					[]
       lowercase   :  Dict        =					0
       lowercase   :  str        =					0






  def    __a     (    self						:      int )						->       str:






       """simple docstring"""







       return self.head == self.tail






  def    __a     (    self						:      Dict ,		_A						:      Union[str, Any] )						->       int:






       """simple docstring"""







       self.data.append(_A )
       lowercase   :  int        =					self.tail + 1






  def    __a     (    self						:      Union[str, Any] )						->       Tuple:






       """simple docstring"""







       lowercase   :  List[str]        =					self.data[self.head]
       lowercase   :  List[Any]        =					self.head + 1
       return ret






  def    __a     (    self						:      Dict )						->       Union[str, Any]:






       """simple docstring"""







       return self.tail - self.head






  def    __a     (    self						:      Any )						->       List[str]:






       """simple docstring"""







       print(self.data )
       print('''**************''' )
       print(self.data[self.head : self.tail] )


class 		_A   :






  def __init__(    self						:      Dict ,		_A						:      int )						->       Dict:






       """simple docstring"""







       lowercase   :  Optional[int]        =					data
       lowercase   :  Tuple        =					None
       lowercase   :  Union[str, Any]        =					None
       lowercase   :  Union[str, Any]        =					1






  def    __a     (    self						:      int )						->       List[str]:






       """simple docstring"""







       return self.data






  def    __a     (    self						:      Dict )						->       Union[str, Any]:






       """simple docstring"""







       return self.left






  def    __a     (    self						:      Optional[int] )						->       Dict:






       """simple docstring"""







       return self.right






  def    __a     (    self						:      int )						->       List[str]:






       """simple docstring"""







       return self.height






  def    __a     (    self						:      Tuple ,		_A						:      Optional[int] )						->       Optional[int]:






       """simple docstring"""







       lowercase   :  Optional[int]        =					data






  def    __a     (    self						:      Optional[int] ,		_A						:      int )						->       int:






       """simple docstring"""







       lowercase   :  Any        =					node






  def    __a     (    self						:      Tuple ,		_A						:      Optional[Any] )						->       str:






       """simple docstring"""







       lowercase   :  List[str]        =					node






  def    __a     (    self						:      str ,		_A						:      Union[str, Any] )						->       Optional[Any]:






       """simple docstring"""







       lowercase   :  int        =					height






def    snake_case(							__magic_name__       )					->				int:





     '''simple docstring'''


     if node is None:
          return 0
     return node.get_height()






def    snake_case(							__magic_name__					,						__magic_name__       )					->				int:





     '''simple docstring'''


     if a > b:
          return a
     return b






def    snake_case(							__magic_name__       )					->				MyNode:





     '''simple docstring'''


     print('''left rotation node:'''					,						node.get_data()       )
     lowercase   :  str        =					node.get_left()
     assert ret is not None
     node.set_left(ret.get_right()       )
     ret.set_right(_A       )
     lowercase   :  Union[str, Any]        =					my_max(get_height(node.get_right()       )					,						get_height(node.get_left()       )       ) + 1
     node.set_height(_A       )
     lowercase   :  int        =					my_max(get_height(ret.get_right()       )					,						get_height(ret.get_left()       )       ) + 1
     ret.set_height(_A       )
     return ret






def    snake_case(							__magic_name__       )					->				MyNode:





     '''simple docstring'''


     print('''right rotation node:'''					,						node.get_data()       )
     lowercase   :  List[str]        =					node.get_right()
     assert ret is not None
     node.set_right(ret.get_left()       )
     ret.set_left(_A       )
     lowercase   :  int        =					my_max(get_height(node.get_right()       )					,						get_height(node.get_left()       )       ) + 1
     node.set_height(_A       )
     lowercase   :  Any        =					my_max(get_height(ret.get_right()       )					,						get_height(ret.get_left()       )       ) + 1
     ret.set_height(_A       )
     return ret






def    snake_case(							__magic_name__       )					->				MyNode:





     '''simple docstring'''


     lowercase   :  List[Any]        =					node.get_left()
     assert left_child is not None
     node.set_left(left_rotation(_A       )       )
     return right_rotation(_A       )






def    snake_case(							__magic_name__       )					->				MyNode:





     '''simple docstring'''


     lowercase   :  int        =					node.get_right()
     assert right_child is not None
     node.set_right(right_rotation(_A       )       )
     return left_rotation(_A       )






def    snake_case(							__magic_name__					,						__magic_name__       )					->				MyNode | None:





     '''simple docstring'''


     if node is None:
          return MyNode(_A       )
     if data < node.get_data():
          node.set_left(insert_node(node.get_left()					,						_A       )       )
          if (
              get_height(node.get_left()       ) - get_height(node.get_right()       ) == 2
          ):  # an unbalance detected
               lowercase   :  Optional[int]        =					node.get_left()
               assert left_child is not None
               if (
                   data < left_child.get_data()
               ):  # new node is the left child of the left child
                    lowercase   :  List[str]        =					right_rotation(_A       )
               else:
                    lowercase   :  List[Any]        =					lr_rotation(_A       )
     else:
          node.set_right(insert_node(node.get_right()					,						_A       )       )
          if get_height(node.get_right()       ) - get_height(node.get_left()       ) == 2:
               lowercase   :  Any        =					node.get_right()
               assert right_child is not None
               if data < right_child.get_data():
                    lowercase   :  Tuple        =					rl_rotation(_A       )
               else:
                    lowercase   :  Union[str, Any]        =					left_rotation(_A       )
     lowercase   :  Optional[int]        =					my_max(get_height(node.get_right()       )					,						get_height(node.get_left()       )       ) + 1
     node.set_height(_A       )
     return node






def    snake_case(							__magic_name__       )					->				Any:





     '''simple docstring'''


     while True:
          lowercase   :  Optional[int]        =					root.get_right()
          if right_child is None:
               break
          lowercase   :  List[Any]        =					right_child
     return root.get_data()






def    snake_case(							__magic_name__       )					->				Any:





     '''simple docstring'''


     while True:
          lowercase   :  int        =					root.get_left()
          if left_child is None:
               break
          lowercase   :  str        =					left_child
     return root.get_data()






def    snake_case(							__magic_name__					,						__magic_name__       )					->				MyNode | None:





     '''simple docstring'''


     lowercase   :  int        =					root.get_left()
     lowercase   :  Optional[int]        =					root.get_right()
     if root.get_data() == data:
          if left_child is not None and right_child is not None:
               lowercase   :  int        =					get_left_most(_A       )
               root.set_data(_A       )
               root.set_right(del_node(_A					,						_A       )       )
          elif left_child is not None:
               lowercase   :  Dict        =					left_child
          elif right_child is not None:
               lowercase   :  str        =					right_child
          else:
               return None
     elif root.get_data() > data:
          if left_child is None:
               print('''No such data'''       )
               return root
          else:
               root.set_left(del_node(_A					,						_A       )       )
     else:  # root.get_data() < data
          if right_child is None:
               return root
          else:
               root.set_right(del_node(_A					,						_A       )       )

     if get_height(_A       ) - get_height(_A       ) == 2:
          assert right_child is not None
          if get_height(right_child.get_right()       ) > get_height(right_child.get_left()       ):
               lowercase   :  Optional[int]        =					left_rotation(_A       )
          else:
               lowercase   :  Optional[int]        =					rl_rotation(_A       )
     elif get_height(_A       ) - get_height(_A       ) == -2:
          assert left_child is not None
          if get_height(left_child.get_left()       ) > get_height(left_child.get_right()       ):
               lowercase   :  Union[str, Any]        =					right_rotation(_A       )
          else:
               lowercase   :  str        =					lr_rotation(_A       )
     lowercase   :  List[str]        =					my_max(get_height(root.get_right()       )					,						get_height(root.get_left()       )       ) + 1
     root.set_height(_A       )
     return root
class 		_A   :






  def __init__(    self						:      Union[str, Any] )						->       Any:






       """simple docstring"""







       lowercase   :  Any        =					None






  def    __a     (    self						:      Dict )						->       str:






       """simple docstring"""







       return get_height(self.root )






  def    __a     (    self						:      Optional[int] ,		_A						:      List[Any] )						->       Any:






       """simple docstring"""







       print('''insert:''' + str(_A ) )
       lowercase   :  Optional[Any]        =					insert_node(self.root ,		_A )






  def    __a     (    self						:      Optional[int] ,		_A						:      List[str] )						->       int:






       """simple docstring"""







       print('''delete:''' + str(_A ) )
       if self.root is None:
            print('''Tree is empty!''' )
            return
       lowercase   :  Dict        =					del_node(self.root ,		_A )






  def __str__(    self						:      Tuple ,		)						->       List[str]:  # a level traversale, gives a more intuitive look on the tree






       """simple docstring"""







       lowercase   :  Any        =					''''''
       lowercase   :  str        =					MyQueue()
       q.push(self.root )
       lowercase   :  Union[str, Any]        =					self.get_height()
       if layer == 0:
            return output
       lowercase   :  str        =					0
       while not q.is_empty():
            lowercase   :  List[str]        =					q.pop()
            lowercase   :  Union[str, Any]        =					''' ''' * int(math.pow(2 ,		layer - 1 ) )
            output += space
            if node is None:
                 output += "*"
                 q.push(_A )
                 q.push(_A )
            else:
                 output += str(node.get_data() )
                 q.push(node.get_left() )
                 q.push(node.get_right() )
            output += space
            lowercase   :  Tuple        =					cnt + 1
            for i in range(100 ):
                 if cnt == math.pow(2 ,		_A ) - 1:
                      lowercase   :  List[str]        =					layer - 1
                      if layer == 0:
                           output += "\n*************************************"
                           return output
                      output += "\n"
                      break
       output += "\n*************************************"
       return output






def    snake_case(							)					->				None:





     '''simple docstring'''


     import doctest

     doctest.testmod()


if __name__ == "__main__":
 _test()
 lowerCAmelCase_						 =					AVLtree()
 lowerCAmelCase_						 =					list(range(10))
 random.shuffle(lst)
 for i in lst:
  t.insert(i)
  print(str(t))
 random.shuffle(lst)
 for i in lst:
  t.del_node(i)
  print(str(t))



from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


__UpperCamelCase     		=							{
    'configuration_xlm_roberta_xl': [
        'XLM_ROBERTA_XL_PRETRAINED_CONFIG_ARCHIVE_MAP',
        'XLMRobertaXLConfig',
        'XLMRobertaXLOnnxConfig',
    ],
}

try:
						if not is_torch_available():
												raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
						pass
else:
						__UpperCamelCase     		=							[
						    'XLM_ROBERTA_XL_PRETRAINED_MODEL_ARCHIVE_LIST',
						    'XLMRobertaXLForCausalLM',
						    'XLMRobertaXLForMaskedLM',
						    'XLMRobertaXLForMultipleChoice',
						    'XLMRobertaXLForQuestionAnswering',
						    'XLMRobertaXLForSequenceClassification',
						    'XLMRobertaXLForTokenClassification',
						    'XLMRobertaXLModel',
						    'XLMRobertaXLPreTrainedModel',
						]

if TYPE_CHECKING:
						from .configuration_xlm_roberta_xl import (
						    XLM_ROBERTA_XL_PRETRAINED_CONFIG_ARCHIVE_MAP,
						    XLMRobertaXLConfig,
						    XLMRobertaXLOnnxConfig,
						)

						try:
												if not is_torch_available():
																		raise OptionalDependencyNotAvailable()
						except OptionalDependencyNotAvailable:
												pass
						else:
												from .modeling_xlm_roberta_xl import (
												    XLM_ROBERTA_XL_PRETRAINED_MODEL_ARCHIVE_LIST,
												    XLMRobertaXLForCausalLM,
												    XLMRobertaXLForMaskedLM,
												    XLMRobertaXLForMultipleChoice,
												    XLMRobertaXLForQuestionAnswering,
												    XLMRobertaXLForSequenceClassification,
												    XLMRobertaXLForTokenClassification,
												    XLMRobertaXLModel,
												    XLMRobertaXLPreTrainedModel,
												)

else:
						import sys

						__UpperCamelCase     		=							_LazyModule(__name__, globals()['__file__'], _import_structure)


